Atkin-Lehner |
2+ 7- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
12614c |
Isogeny class |
Conductor |
12614 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-22730428 = -1 · 22 · 7 · 172 · 532 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 0 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7,-231] |
[a1,a2,a3,a4,a6] |
Generators |
[8:13:1] [38:213:1] |
Generators of the group modulo torsion |
j |
34965783/22730428 |
j-invariant |
L |
4.4749518148132 |
L(r)(E,1)/r! |
Ω |
0.99991171891389 |
Real period |
R |
2.2376734516494 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100912m1 113526bb1 88298e1 |
Quadratic twists by: -4 -3 -7 |